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Finding the Fourth Proportional to 200.67, 301.05 and 166.57

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Solution

The fourth proportional to 200.67, 301.05 and 166.57 is: 249.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.67 : 301.05 = 166.57 : x
  2. Step 2: Convert to fraction form
    200.67/301.05 = 166.57/x
  3. Step 3: Cross multiply
    200.67x = 301.05 × 166.57
  4. Step 4: Simplify right side
    200.67x = 50,145.90
  5. Step 5: Solve for x
    x = 50,145.90/200.67
  6. Step 6: Final answer
    x = 249.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.